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Comparing lengths, areas and volumes: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on R12 Comparing lengths, areas and volumes, 2017–2025, with its mark scheme and examiner’s report.

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  1. Q16

    June 2025 · Paper 2H

    5 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    June 2025 Paper 2H, question 16: Two jars are mathematically similar. 12 cm 1350 cm3 h cm 90 cm3 (a) Work out the height, h cm, of the smaller jar. Give your answer correct to 1 decimal place.

  2. Q12

    November 2024 · Paper 1H

    4 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    November 2024 Paper 1H, question 12: A, B and C are three solid spheres. Sphere A has a volume of 64 cm 3 Sphere B has a volume of 125 cm 3 The radius of sphere C is 50% of the radius of sphere B.

  3. Q8

    June 2024 · Paper 2H

    3 marksR2 Scale factors, scale drawings and mapsR12 Comparing lengths, areas and volumes
    The whole paper ↗
    June 2024 Paper 2H, question 8: A playground is in the shape of a right-angled triangle. R P Q Dan makes a scale drawing of the playground. He uses a scale of 1 cm represents 5 m The area of t

  4. Q17

    June 2024 · Paper 2H

    4 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    June 2024 Paper 2H, question 17: L, M and P are three similar solid cylinders made from the same material. M L P L has a mass of 64 g M has a mass of 125 g 2 M has a total surface area of 144 c

  5. Q19

    November 2021 · Paper 2H

    3 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    November 2021 Paper 2H, question 19: A, B and C are three spheres. The volume of sphere A is 125 cm3 The volume of sphere B is 27 cm3 The ratio of the radius of sphere B to the radius of sphere C i

  6. Q9

    June 2019 · Paper 2H

    4 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    June 2019 Paper 2H, question 9: The circumference of circle B is 90% of the circumference of circle A. (a) Find the ratio of the area of circle A to the area of circle B. Square E has sides of

  7. Q11

    November 2017 · Paper 2H

    3 marksS2 Charts and tablesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    November 2017 Paper 2H, question 11: is 3 marks)

  8. Q14

    November 2017 · Paper 3H

    3 marksG19 Similar shapesR12 Comparing lengths, areas and volumes
    The whole paper ↗
    November 2017 Paper 3H, question 14: Cone A and cone B are mathematically similar. The ratio of the volume of cone A to the volume of cone B is 27 : 8 The surface area of cone A is 297 cm2 Show tha
All 8 questions on Comparing lengths, areas and volumes, as a list
  1. June 2025, Paper 2H, Q16 (5 marks): Two jars are mathematically similar. 12 cm 1350 cm3 h cm 90 cm3 (a) Work out the height, h cm, of the smaller jar. Give your answer correct to 1 decimal place.
  2. November 2024, Paper 1H, Q12 (4 marks): A, B and C are three solid spheres. Sphere A has a volume of 64 cm 3 Sphere B has a volume of 125 cm 3 The radius of sphere C is 50% of the radius of sphere B.
  3. June 2024, Paper 2H, Q8 (3 marks): A playground is in the shape of a right-angled triangle. R P Q Dan makes a scale drawing of the playground. He uses a scale of 1 cm represents 5 m The area of t
  4. June 2024, Paper 2H, Q17 (4 marks): L, M and P are three similar solid cylinders made from the same material. M L P L has a mass of 64 g M has a mass of 125 g 2 M has a total surface area of 144 c
  5. November 2021, Paper 2H, Q19 (3 marks): A, B and C are three spheres. The volume of sphere A is 125 cm3 The volume of sphere B is 27 cm3 The ratio of the radius of sphere B to the radius of sphere C i
  6. June 2019, Paper 2H, Q9 (4 marks): The circumference of circle B is 90% of the circumference of circle A. (a) Find the ratio of the area of circle A to the area of circle B. Square E has sides of
  7. November 2017, Paper 2H, Q11 (3 marks): is 3 marks)
  8. November 2017, Paper 3H, Q14 (3 marks): Cone A and cone B are mathematically similar. The ratio of the volume of cone A to the volume of cone B is 27 : 8 The surface area of cone A is 297 cm2 Show tha

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